4640702976 has 960 divisors, whose sum is σ = 18808796160. Its totient is φ = 1114767360.

The previous prime is 4640702971. The next prime is 4640702977. The reversal of 4640702976 is 6792070464.

It is a super-2 number, since 2×4640702976² = 43072248222910513152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4640702971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149700081 + ... + 149700111.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^4640702976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640702976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

4640702976 is an abundant number, since it is smaller than the sum of its proper divisors (14168093184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4640702976 is a wasteful number, since it uses less digits than its factorization.

4640702976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4640702976 is about 68122.7052897931. The cubic root of 4640702976 is about 1667.9944102085.

The spelling of 4640702976 in words is "four billion, six hundred forty million, seven hundred two thousand, nine hundred seventy-six".